Finding the Third Proportional to 194,920 and 291,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,920 : 291,586.50 = 291,586.50 : x
2. Step 2: Convert to fraction form
   194,920/291,586.50 = 291,586.50/x
3. Step 3: Cross multiply
   194,920x = 291,586.50 × 291,586.50
4. Step 4: Simplify right side
   194,920x = 85,022,686,982.25
5. Step 5: Solve for x
   x = 85,022,686,982.25/194,920
6. Step 6: Final answer
   x = 436,192.73